I would hire a car, if you're staying in Tahiche, you may want to get out and about and explore the resorts and island. Driving isn't that difficult and there are much fewer cars on the road than the UK. With roundabouts, just stay in the outside lane where you have priority - don't swap lanes as you go round like in the UK.
From the airport its only a short drive, you take the first exit on the right after the cargo centre - wait for a gap to join the main road as cars won't give way, once you passed the Deiland shopping centre on the right, move over to the left hand lane so you don't drive into Arrecife and take the Circunvalacion, this is the ring road around the capital. You want the second junction off this road - at each junction there are two exits, the Tahiche one is the fourth exit or the second exit of the second juntion, its signposted Tahiche, Orzola and the North and it will take you round and underneath the road you were just on - Tahiche is then straight ahead, the first roundabout is the César Manrique one so you need directions from there. If you miss the turning you will end up at the ferry port, just turn around and come back to the junction again.
The locals are used to tourists driving and will give you space, just remember to stay in the outside lane at roundabouts, we don't give way at junctions, if there is a stop sign, stop and put your handbrake one and don't cross over blocked white lines in the centre of the road.
Have a great holiday
